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Linear Algebra Math

05/07/21

Solving word problems using linear system

If a pen and 26 pencils cost $40, while five pens and 3 (26) pencils cost $130, how much is each pen and pencil?

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Linear Algebra Calculus Precalculus Computer Programming

05/07/21

Consider the system of linear equations

a1x + b1y = c1a2x + b2y = c2where a1, b1, c1, a2, b2, and c2 represent real numbers. What must be true about the lines represented by the equations when the following is true?A: The lines must... more

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Linear Algebra Math Algebra 1 Algebra 2

05/06/21

Find an equation of the line through (1,5) and parallel to y=3x-2 Write the equation using function notation

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Linear Algebra Algebra 1 Algebra 2 Algebra

05/06/21

Find an equation of the line through (1,5) and parallel to y=3x-2 Write the equation using function notation

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Linear Algebra

05/06/21

the equation of a line that passes through the point (0,9) and is perpendicular to y-3 = (1)/(3) (x +2) can be expressed in the form y= ax +b

y-3 = 1 (x +2) -- 3

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Linear Algebra

05/05/21

Find the area of the parallelogram that has the vectors as adjacent sides.

Find the area of the parallelogram that has the vectors as adjacent sides.u = (2, 0, −3), v = (−3, 0, 2)

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Linear Algebra

05/04/21

Word problem using elimination

Thomas has $6000 invested among a checking account paying 2% annual interest, a savings account paying 5% annual interest and a bond paying 7% annual interest. He earns a total of $355 in annual... more

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Linear Algebra

05/04/21

Let (in Description below) and (in Description below). Given that P diagonalizes A, then compute the matrix A^2517.

LetGiven that P diagonalizes A, then compute the matrix A2517.

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Linear Algebra

05/04/21

Use the method of Example 6 to compute the matrix A10, where

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Linear Algebra Algebra Linear Equations

05/04/21

Linear Equation Word Problem (below)

The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also 240 pounds less than the sum. If Eric weighs less than Bob, find... more

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Linear Algebra

05/04/21

Word problem using elimination

The sum of the digits of a three-digit number is 16. The units digit is 2 more than the sum of the other two digits and the tens digit is 5 more than the hundreds digit. What is the number?

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Linear Algebra

05/03/21

Use the function to find the image of v and the preimage of w.

Use the function to find the image of v and the preimage of w. T(v1, v2, v3) = (4v2 − v1, 4v1 + 5v2), v = (3, −4, −1), w = (6, 18)

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Linear Algebra Algebra Linear Equations

05/03/21

Linear Equation Word Problem (below)

A plane traveled 1496 miles to Baltimore and back. The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 17 hours. Find the speed of the plane in... more

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Linear Algebra Math

05/02/21

Find the inverse Laplace Transform of the function

Find the inverse Laplace Transform of:G(s) = (as+b) / (s^2+β^2)

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Linear Algebra

05/02/21

Linear algebra question

Use the function to find the image of v and the preimage of w.T(v1, v2, v3) = (4v2 − v1, 4v1 + 5v2), v = (3, −4, −1), w = (6, 18)

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Linear Algebra

05/02/21

Linear algebra question

Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (−1, 2, 4), T(0, 1, 0) = (−2, 1, 3),and T(0, 0, 1) = (0, 2, −2). Find the indicated image. T(0, 1, −3)

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Linear Algebra Algebra

05/02/21

-4x+y=-5 8x-2y=10 solve by elimination

This is how I worked it:2(-4x+y=-5) = -8x+2y=-108x-2y=10-8x+2y=-10(the x and y cancels each other out, leaving 10 and -10, which are false, so I got no solution)But when I used a calculator, it... more

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Linear Algebra Algebra

05/01/21

-20y-10x=10 -8x-8-16y=0 use elimination to solve it.

For me, I somehow got "no solution" but I know the answer is "infinitely many", I just don't know how to get it. Please help. Thank you.

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Linear Algebra Calculus Precalculus Differential Equations

04/30/21

Show that B is the inverse of A.

A = -1/2 -5/4 B = 8 5 1 2 -4 -2To show that B is the inverse of A, we need to show that AB = I = BA.AB = -4 + ___ -5/2 + ___ ... more

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Linear Algebra Math Calculus Precalculus

04/30/21

Use an inverse matrix to solve (if possible) the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, set y = a and solve for x in terms of a.)

5/6x - y = -184/3x - 7/2y = -44(x,y) = _____

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Linear Algebra Math Linear Equations Maths

04/30/21

Find the new quadratic form?

Classify the quadratic form below. Then make a change of variable, x=Py, that transforms the quadratic form into one with no cross-product terms. Write the new quadratic... more

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Linear Algebra Math Linear Equations Maths

04/30/21

Find the new quadratic form

Classify the quadratic form below. Then make a change of variable, x=Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form.2x21 + 8x1x2+2x22What... more

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Linear Algebra

04/29/21

Linear Algebra (Vector)

Determine whether or not the set of vectors identified is a subspace of:#1.R3 if U={vectors whose length does not exceed 1} , i.e., U= {(a, b, c): a² + b² + c² ≤1}

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Linear Algebra

04/29/21

Linear Algebra (Vector)

Tell whether or not W can be written as a linear combination of the vectors in S. If yes, find the values of a , b and c ∈ R.Problem #1.W(-4, 3, 5) and S = { (1, -1, -2), (5, -4, -7), (-3, 1, 0)}

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Linear Algebra

04/29/21

Linear Algebra (Vector)

Determine whether or not the set of vectors identified is a subspace of:#1. R3 if W is the set of all vectors of the form (x, y, 1) under the usual vector addition and scalar multiplication.

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Solving word problems using linear system

Consider the system of linear equations

Find an equation of the line through (1,5) and parallel to y=3x-2 Write the equation using function notation

Find an equation of the line through (1,5) and parallel to y=3x-2 Write the equation using function notation

the equation of a line that passes through the point (0,9) and is perpendicular to y-3 = (1)/(3) (x +2) can be expressed in the form y= ax +b

Find the area of the parallelogram that has the vectors as adjacent sides.

Word problem using elimination

Let (in Description below) and (in Description below). Given that P diagonalizes A, then compute the matrix A^2517.

Use the method of Example 6 to compute the matrix A10, where

Linear Equation Word Problem (below)

Word problem using elimination

Use the function to find the image of v and the preimage of w.

Linear Equation Word Problem (below)

Find the inverse Laplace Transform of the function

Linear algebra question

Linear algebra question

-4x+y=-5 8x-2y=10 solve by elimination

-20y-10x=10 -8x-8-16y=0 use elimination to solve it.

Show that B is the inverse of A.

Use an inverse matrix to solve (if possible) the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, set y = a and solve for x in terms of a.)

Find the new quadratic form?

Find the new quadratic form

Linear Algebra (Vector)

Linear Algebra (Vector)

Linear Algebra (Vector)

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